At the instant shown, the arm $OA$ of the conveyor belt is rotating about the $z$ axis with a constant angular velocity $\omega_1 = 5.9 \text{ rad/s}$, while at the same instant the arm is rotating upward at a constant rate $\omega_2 = 3.5 \text{ rad/s}$.
If the conveyor is running at a rate $\dot{r} = 5 \text{ ft/s}$, which is increasing at $\ddot{r} = 8 \text{ ft/s}^2$, determine the velocity of the package $P$ at the instant shown. Neglect the size of the package.
Enter the $x, y,$ and $z$ components of the velocity in feet per second to three significant figures separated by commas.
Determine the acceleration of the package $P$ at the instant shown.
Enter the $x, y,$ and $z$ components of the acceleration in feet per second squared to three significant figures separated by commas.
